document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888276>Question 888276</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x) = &#8730;x^2-1 and g(x) = &#8730;x-1 which expression represents f(x)/g(x) for x>1? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #537265 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=537265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2+-+1%29+%2F+sqrt%28x-1%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2+-+1%29+%2F+sqrt%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%5E2-1%29%2F%28x-1%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%5E2-1%29%2F%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-1%29%28x%2B1%29%2F%28x-1%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x-1%29%28x%2B1%29%2F%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B1%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "following is the graph of the equation of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2+-+1%29+%2F+sqrt%28x-1%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2+-+1%29+%2F+sqrt%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/072001.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "following is the graph of the equation of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B1%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/072002.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the first graph doesn't allow values of x = 1 because that would make the denominator equal to 0 and the function would be undefined.\r<BR>\n" );
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document.write( "the first graph also doesn't allow values of x <1 because that would make the numerator the squart root of a negative number which is also undefined in the real number system.\r<BR>\n" );
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document.write( "the second graph goes to 0 because x+1 will be positive for values less than 1 of x but greater than or equal to 0 and will also allows x = 1 because there is no denominator in that equation.\r<BR>\n" );
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document.write( "the 2 equations are equivalent except that once you eliminated the denominator by canceling it out, you can then get a defined solution at x = 1.\r<BR>\n" );
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